if 10 times the 10th term of an A.P is equal to 15 times the 15th term, show that 25th term of an A.P is zero
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554
according to question ,
10 x 10th term =15 x 15th term
let a is the first term and d is the common difference .
10 (a+9d)=15 (a+14d)
5a+120d=0
a +24d=0
now ,
25th term =a+(25-1) d=a+24d=0
hence 25th term=0
10 x 10th term =15 x 15th term
let a is the first term and d is the common difference .
10 (a+9d)=15 (a+14d)
5a+120d=0
a +24d=0
now ,
25th term =a+(25-1) d=a+24d=0
hence 25th term=0
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